At a Korean buffet restaurant, adults are charged at a fixed price and children are charged at a low

Question

At a Korean buffet restaurant, adults are charged at a fixed price and children are charged at a lower fixed price. The total cost for $3$ adults and $4$ children is $\$108$, while the total for $5$ adults and $2$ children is $\$124$.
Let $\$x$ be the cost for an adult and $\$y$ be the cost for a child.

Form two equations involving $x$ and $y$.
Hence, find the cost for an adult and a child.
Find the total cost of $6$ adults and $2$ children.

Accepted Answer

(a) $3x+4y=108$, $5x+2y=124$ (b) adult $\$20$, child $\$12$ (c) $\$144$

Finding Costs Using Simultaneous Equations

Finding Costs Using Simultaneous Equations

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